On harmonic curvatures of a Frenet curve in Lorentzian space

Mihriban Külahcı, Mehmet Bektaş and Mahmut Ergüt

Chaos, Solitons & Fractals, 2009, vol. 41, issue 4, 1668-1675

Abstract: In this paper, we consider curves of AW(k)-type, 1⩽k⩽3, in Lorentzian space. We give curvature conditions of these kind of curves. Furthermore, we study harmonic curvatures of curves of AW(k)-type. We investigate that under what conditions AW(k)-type curves are helix. Some related theorems and corollaries are also proved.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:4:p:1668-1675

DOI: 10.1016/j.chaos.2008.07.013

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